| On a General Probabilistic Representation Formula for Semigroups of Operators |
| Received:February 18, 1982 |
| Key Words:
|
| Fund Project: |
|
| Hits: 1682 |
| Download times: 1317 |
| Abstract: |
| In this paper we present a general probabilistic representation theorem for semigroups of operators which essentially comprises almost all known representation theorems of this kind. Especially, so-called first and second main theorems turn out to be special cases of the same general formula. The general theorem also permits the calculation of rates of convergence involving the second modulus of continuity. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1982.04.014 |
| View Full Text View/Add Comment |
